As someone doing this transition, I would love some references that help me... Train myself I guess? Other than by doing and analyzing myself, which is my current situation

I have realized I can give so many tips and reference so many great content online to learn math, programming, engineering... But find myself missing anything about managing

There are a number of decent books.

"Become an Effective Software Engineering Manager", "The Manager's Path", "Becoming a Technical Leader", "An Elegant Puzzle", "Resilient Management".

But your best bet is either finding an experienced manager who's willing to coach you, or working with a management coach.

(There's a number of folks blogging as well. Gergely Orosz, Laura Hogan, Camille Fournier,...)